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Finding the Third Proportional to 13,669,892 and 19,225,802

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Solution

The third proportional to 13,669,892 and 19,225,802 is: 27,039,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669,892 : 19,225,802 = 19,225,802 : x
  2. Step 2: Convert to fraction form
    13,669,892/19,225,802 = 19,225,802/x
  3. Step 3: Cross multiply
    13,669,892x = 19,225,802 × 19,225,802
  4. Step 4: Simplify right side
    13,669,892x = 369,631,462,543,204
  5. Step 5: Solve for x
    x = 369,631,462,543,204/13,669,892
  6. Step 6: Final answer
    x = 27,039,823.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.